Rashads teacher buys paperback books for her classroom library. Each book costs $6, and she spends a total of $150. Which equation models the number of books, n, she buys? A. 6n=150 B. n/6=150 C.150-n=6 D. 6•150=n

Answer: this equation is in slope intercept form following the template of y=mx+b because m is your slope, looking at the corresponding parts tells you 4/5 is the slope.

Answer:

1,482 square feet

Step-by-step explanation:

Find total area - 37 x 46 = 1,702

Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden

Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft

The product of two given polynomials is x³+x²y-2xy²+6y²+3xy.

Given that, (x+2y)(x²-xy+3y).

To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.

The product of two given polynomials is as follows

(x+2y)(x²-xy+3y)

= x(x²-xy+3y)+2y(x²-xy+3y)

= x³-x²y+3xy+2x²y-2xy²+6y²

= x³+x²y-2xy²+6y²+3xy

Hence, the product of two given polynomials is x³+x²y-2xy²+6y²+3xy.

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Answer:

3/24 and 35/63

Step-by-step explanation:

3 / 6 of 1 / 4 = 3 x 1 / 6 x 4 = 3 / 24

7 / 9 of 5 / 7 = 7 x 5 / 9 x 7 = 35/63

Answer:

3            1               1

_     X    _      =       _  

6            4              8

7            5              5

_     X     _   =        _

9            7              9

Hope this helped :)

Answer:

less than half

Step-by-step explanation:

13/12 - 7/10 = 23/60

Answer:67.5

Step-by-step explanation:The question asked the HEIGHT. So multiply the scale factor (2.5) and the inches tall (27).

Answer:

24

Step-by-step explanation:

1/2(x1+x2)c x1=3 , x2=5 , c=6

:- 1/2(3+5)6 ( BODMAS)

:- 1/2(8)6 divide 8 by 1/2

:- (4)6 multiply both of them and the result = 24

Answer:

7.5

Step-by-step explanation:

60/8

7.5

x=7.5

Answer:

X= 7.5

Step-by-step explanation:

The x - intercept of the line is at Point X(9, 0).

We have the following equation of a straight line -

y = 4x - 36

We have to find the x - intercept of the of this line.

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question, we have -

y = 4x - 36

Now, comparing this line with the general equation of line -  y = mx + c, we get -

m = 4

c = - 36

for the x - intercept of the line, substitute y = 0. We get -

0 = 4x -36

4x = 36

x = 9

Hence, the x - intercept of the line is at Point X(9, 0).

Refer to the graph attached for more clarity.

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9514 1404 393

Answer:

Step-by-step explanation:

a) The fraction is ...

  2(5 1/4)/(15 2/3) = (21/2)/(47/3) = 63/94

Two streamers will require 63/94 of the original material.

__

b) $4800 is 70% of Sara's salary, so that salary is ...

  4800 = 0.70s

  4800/0.70 = s = 6857.14

Sara's salary is about $6857.14.

Answer:

0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes

Step-by-step explanation:

To solve this question, we should understand the exponential distribution and conditional probability.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

The average waiting time for this distribution is 38 minutes.

This means that [tex]m = 38, \mu = \frac{1}{38} = 0.0263[/tex]

Given that it has already taken 37 minutes, what is the probability that the wait time will be more than an additional 41 minutes?

Event A: Taking more than 37 minutes.

Event B: More than 37 + 41 = 78 minutes.

Probability of taking more than 37 minutes:

[tex]P(A) = P(X \leq 37) = 1 - e^{-0.0263*37} = 0.6221[/tex]

More than 37 minutes and more than 78 minutes:

The intersection is more than 78 minutes, so:

[tex]P(A \cap B) = P(X > 78) = e^{-0.0263*78} = 0.1286[/tex]

The probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1286}{0.6221} = 0.207[/tex]

0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes

Answer:

the third option

Step-by-step explanation:

Answer:it can very

Step-by-step explanation:

It depends on which definition of 'whole numbers' you use.

Some definitions say the whole numbers are the set of positive integers including zero; or the set of all non-negative integers. In this case, the answer would be 'false', since the set of integers includes negatives.

However, if you are using a definition of whole numbers which includes positive integers, including zero, and their negatives, the answer would be 'true'. Figure out how the term 'whole numbers' is being defined, then you can get your answer.

Answer:

every natural number is a whole number, but, every whole number is not a natural number.

Step-by-step explanation:

Answer:

There is a error that is

Not : 4 × 6

Correct: 4 × 4

Step-by-step explanation:

Given ,

Base of the parallelogram = 4 in.

Height of the parallelogram = 4 in.

Therefore,

Area of the parallelogram = base × height

= 4 in. × 4 in.

[tex] = 16 {in.}^{2} (ans)[/tex]

Answer:

fals it would be 11

Step-by-step explanation:

11 x 3 = 33

3 x 11 = 33

33 divide 11 = 3

33 divide 3 = 11

Answer:

I think it's true

Step-by-step explanation:

my answer also coming 33 l think so..

it's true

Answer:

a

Step-by-step explanation:

Answer:

180=2x+ 24( angles opposite to equal sides)

156/2=x

x=78

Step-by-step explanation:

The value of x from the triangle is given by the equation x = 78°

A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.

In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle

The three types of Isosceles Triangles are :

Isosceles acute triangle

Isosceles right triangle

Isosceles obtuse triangle

Given data ,

Let the triangle be represented as ABC

Now , the measure of angle ∠A = 24°

It is an isosceles triangle with ∠B = ∠C

So , the measures of the two angles are the same

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Substituting the values in the equation , we get

x + x + 24° = 180°

On simplifying the equation , we get

2x = 156°

Divide by 2 on both sides of the equation , we get

x = 78°

Hence , the measure of x = 78°

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

4/5 your dividing 4 by 5, so answer is B :)

Answer:

105

Step-by-step explanation:

17.5÷2.5=7

7x15=105

Answer:

-5x + 20 = -30

-5x = 10

x = -2

Answer:

$30

Step-by-step explanation:

5+16=21+9=30

Given:

The scale is 1:250.

To find:

The measurements in metres if 40 mm is drown on the plan​.

Solution:

The scale is 1:250. It means,

1 mm of the drawing = 250 mm of original length

40 mm of the drawing = 40×250 mm of original length

40 mm of the drawing = 10000 mm of original length

We know that,

1000 mm = 1 m

1 mm = 0.001 m

10000 mm = 10000×0.001 m

10000 mm = 10 m

Therefore, the measurement is 10 metres if 40 mm is drown on the plan​.